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Finding the Fourth Proportional to 4,800.50, 6,624.69 and 2,592.50

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Solution

The fourth proportional to 4,800.50, 6,624.69 and 2,592.50 is: 3,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.50 : 6,624.69 = 2,592.50 : x
  2. Step 2: Convert to fraction form
    4,800.50/6,624.69 = 2,592.50/x
  3. Step 3: Cross multiply
    4,800.50x = 6,624.69 × 2,592.50
  4. Step 4: Simplify right side
    4,800.50x = 17,174,508.83
  5. Step 5: Solve for x
    x = 17,174,508.83/4,800.50
  6. Step 6: Final answer
    x = 3,577.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.